# Random Attractor Associated with the Quasi-Geostrophic Equation

@article{Zhu2013RandomAA, title={Random Attractor Associated with the Quasi-Geostrophic Equation}, author={Rongchan Zhu and Xiangchan Zhu}, journal={Journal of Dynamics and Differential Equations}, year={2013}, volume={29}, pages={289-322} }

We study the long time behavior of the solutions to the 2D stochastic quasi-geostrophic equation on $${\mathbb {T}}^2$$T2 driven by additive noise and real linear multiplicative noise in the subcritical case (i.e. $$\alpha >\frac{1}{2}$$α>12) by proving the existence of a random attractor. The key point for the proof is the exponential decay of the $$L^p$$Lp-norm and a boot-strapping argument. The upper semicontinuity of random attractors is also established. Moreover, if the viscosity constant…

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